41 dollarsStep-by-step explanation:
Given:
A figure of combination of hemisphere, cylinder and cone.
Radius of hemisphere, cylinder and cone = 6 units.
Height of cylinder = 12 units
Slant height of cone = 10 units.
To find:
The volume of the given figure.
Solution:
Volume of hemisphere is:

Where, r is the radius of the hemisphere.



Volume of cylinder is:

Where, r is the radius of the cylinder and h is the height of the cylinder.



We know that,
[Pythagoras theorem]
Where, l is length, r is the radius and h is the height of the cone.

Volume of cone is:

Where, r is the radius of the cone and h is the height of the cone.



Now, the volume of the combined figure is:



Therefore, the volume of the given figure is 2110.08 cubic units.
1. It's a proportion...50 over 12.5 = h over 50 then cross multiply and divide
2. Another proportion 7over x = 2 over 6 then cross multiply and divide
P1=2.5+2.5+4.75+4.75=14.5 cm
0.5 cm - 1 in
2.5 cm - 5 in
4.75 cm - 9.5 in
P2=5+5+9.5+9.5=29 in
Answer:
6x - 11y = -13 is the answer.
Step-by-step explanation:
Let's plug in the points to see what sticks.
Start with (-4, -1)
1) 11x - 6y = 11(-4) - 6(-1) = -44 + 6 = -38
13
2) 6x - 11y = 6(-4) - 11(-1) = -24 + 11 = -13
3) 6x - 7y = 6(-4) - 7(-1) = -24 + 7 = -17
17
4) 6x - 11y = 6(-4) - 11(-1) = -24 + 11 = -13
13
The only one that fits is #2. Let's try the other point to be sure.
2) 6x - 11y = 6(1.5) - 11(2) = 9 - 22 = -13